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Finding the Fourth Proportional to 64,483.44, 96,744.38 and 30,774.78

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Solution

The fourth proportional to 64,483.44, 96,744.38 and 30,774.78 is: 46,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,483.44 : 96,744.38 = 30,774.78 : x
  2. Step 2: Convert to fraction form
    64,483.44/96,744.38 = 30,774.78/x
  3. Step 3: Cross multiply
    64,483.44x = 96,744.38 × 30,774.78
  4. Step 4: Simplify right side
    64,483.44x = 2,977,286,856.86
  5. Step 5: Solve for x
    x = 2,977,286,856.86/64,483.44
  6. Step 6: Final answer
    x = 46,171.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.